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Poincaré inequality for abstract spaces

Published online by Cambridge University Press:  17 April 2009

Alireza Ranjbar-Motlagh
Alireza Ranjbar-Motlagh
Affiliation:
Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-9415, Tehran, Iran, e-mail: ranjbarm@sharif.edu
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The Poincaré inequality is generalised to metric-measure spaces which support a strong version of the doubling condition. This generalises the Poincaré inequality for manifolds whose Ricci curvature is bounded from below and metric-measure spaces which satisfy the measure contraction property.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 2 , April 2005 , pp. 193 - 204
Copyright
Copyright © Australian Mathematical Society 2005

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